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Finding the Fourth Proportional to 7,683, 11,517.39 and 3,731.82

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Solution

The fourth proportional to 7,683, 11,517.39 and 3,731.82 is: 5,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683 : 11,517.39 = 3,731.82 : x
  2. Step 2: Convert to fraction form
    7,683/11,517.39 = 3,731.82/x
  3. Step 3: Cross multiply
    7,683x = 11,517.39 × 3,731.82
  4. Step 4: Simplify right side
    7,683x = 42,980,826.35
  5. Step 5: Solve for x
    x = 42,980,826.35/7,683
  6. Step 6: Final answer
    x = 5,594.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.